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231013002031020 = 2233511251718721559
BaseRepresentation
bin110100100001101011100111…
…111011001010111110101100
31010021221121221022100212001000
4310201223213323022332230
5220234404112004443040
62135153524045520300
766442065355140036
oct6441534773127654
91107847838325030
10231013002031020
1167676078171680
1221aaba4ab73090
139bb95815c9c31
144109136150c56
151ba92a1cd3130
hexd21ae7ecafac

231013002031020 has 384 divisors, whose sum is σ = 787313853849600. Its totient is φ = 55769683680000.

The previous prime is 231013002030991. The next prime is 231013002031061. The reversal of 231013002031020 is 20130200310132.

231013002031020 is a `hidden beast` number, since 2 + 3 + 10 + 1 + 300 + 20 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231013002030984 and 231013002031002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10715375001 + ... + 10715396559.

It is an arithmetic number, because the mean of its divisors is an integer number (2050296494400).

Almost surely, 2231013002031020 is an apocalyptic number.

231013002031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231013002031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393656926924800).

231013002031020 is an abundant number, since it is smaller than the sum of its proper divisors (556300851818580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231013002031020 is a wasteful number, since it uses less digits than its factorization.

231013002031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29026 (or 29018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231013002031020 its reverse (20130200310132), we get a palindrome (251143202341152).

The spelling of 231013002031020 in words is "two hundred thirty-one trillion, thirteen billion, two million, thirty-one thousand, twenty".